Answers:
Option 1)
6a + 8s = 102
14a + 4s = 150
each adult ticket costs 9 dollars
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Explanation:
6 adult tickets and 8 student tickets bring in $102, so that means 6a+8s = 102
14 adult tickets and 4 students tickets bring in $150, so 14a+4s = 150
The system of equations is

If we multiply both sides of the second equation by -2, we get this updated system

Add the equations straight down
6a+(-28a) = -22a
8s+(-8s) = 0s = 0 ... the 's' terms go away
102+(-300) = -198
So we end up with the equation -22a = -198 and that solves to a = 9 after dividing both sides by -22.
Each adult ticket costs $9
If you want the value of s, then
6a+8s = 102
6(9)+8s = 102
54 + 8s = 102
8s = 102-54
8s = 48
s = 48/8
s = 6
Meaning each student ticket costs $6
Or you could use the other equation
14a+4s = 150
14(9)+4s = 150
126+4s = 150
4s = 150-126
4s = 24
s = 24/4
s = 6
We get the same value of s
For Henry: 4 out of 9 is equal to 4 divided by 9. That gives you approximately 0.444. Multiply that by 100 to get the percentage and you get 44.4%.
Henry: 44.4%
Michelle 45%
MICHELLE HELPED MORE STUDENTS
Answer:
Step-by-step explanation:
<u>The equation to reflect the monthly plans:</u>
- Plan A f(x) = 0.16x + 12
- Plan B g(x) = 0.12x + 29
<u>We need to find the value of x when f(x) = g(x):</u>
- 0.16x + 12 = 0.12x + 29
- 0.16x - 0.12x = 29 - 12
- 0.04x = 17
- x = 17/0.04
- x = 425 minutes
<u>The cost is:</u>
Answer:
18
Step-by-step explanation:
Just divide both sides by - 64